If you are using a pure analog electronic crossover, it is still considered an analog system. However, if you apply DSP after the DAC (which seems to be the case), there are additional A/D and D/A conversion steps involved inside the DSP processing. In that case, it is no longer a purely analog system, even if the chain / system looks like analog. This is a passive crossover system.
If you process the digital signal using DSP and keep it in the digital domain all the way up to the final D/A conversion and amplification stages, you have an active crossover system that will likely perform best when properly implemented.
